Explanation : 

A person X from place a & other Y from B

Given information:
– Total distance between A and B = 15 km
– Person X’s speed = constant 1.5 km/hr
– Person Y’s speed increases by 0.25 km/hr every hour:
Hour 1: 1.0 km/hr
Hour 2: 1.25 km/hr
Hour 3: 1.5 km/hr
Hour 4: 1.75 km/hr
Hour 5: 2.0 km/hr

Step 1: Calculate X’s distance in 5 hours
– X’s distance = Speed × Time
– X’s distance = 1.5 × 5 = 7.5 km

Step 2: Calculate Y’s total distance in 5 hours
– Hour 1: 1.0 km
– Hour 2: 1.25 km
– Hour 3: 1.5 km
– Hour 4: 1.75 km
– Hour 5: 2.0 km
Total = 7.5 km

Step 3: Verify statements
1. They take 5 hours to meet
– Total distance covered = X’s distance + Y’s distance
– 7.5 + 7.5 = 15 km (complete distance)
– Therefore, they meet in 5 hours (True)

2. They meet midway
– Both cover 7.5 km each
– 7.5 km is exactly half of 15 km
– Therefore, they meet midway (True)

Answer: Option (c) Both statements 1 and 2 are correct.

Explanation : 

8 4 6 15 x 236.25

Let us solve this step by step:

Sequence I:
Let us start with 8:
8 × 0.5 → 4
4 × 1.5 → 6
6 × 2.5 → 15
15 × 3.5 → 52.5
52.5 × 4.5 → 236.25

Sequence II:
Let us start with 5:
5 × 0.5 → 2.5 (A)
2.5 × 1.5 → 3.75 (B)
3.75 × 2.5 → 9.375 (C)

Let us observe the pattern:
The multipliers increase by 1 each time:
0.5, 1.5, 2.5, 3.5, 4.5

Explanation : 

7b 10a 3c

Row 1 : 10 – 7 = 3
Row 2 : 9 – 3 = 3
Row 3 = 13 – 10 = 3, B was missing in row 3

Explanation : 

Given sequence: 2, 7, 22, 67, 202, X, 1822

Pattern: Each number is generated by multiplying the previous number by 3 and adding 1.

Let’s verify each step:
2 → 7: 2 × 3 + 1 = 7
7 → 22: 7 × 3 + 1 = 22
22 → 67: 22 × 3 + 1 = 67
67 → 202: 67 × 3 + 1 = 202
202 → X: 202 × 3 + 1 = 607
607 → 1822: 607 × 3 + 1 = 1822

Answer: X = 607

Explanation :

Replacing the incorrect term by correct term

Let’s solve this sequence problem step by step:

1. Original sequence:
3, 2, 7, 4, 13, 10, 21, 18, 31, 28, 43, 40

2. Analysis of odd-positioned numbers (1st, 3rd, 5th…):
3, 7, 13, 21, 31, 43
Differences: 4, 6, 8, 10, 12
Pattern: Each difference increases by 2

3. Analysis of even-positioned numbers (2nd, 4th, 6th…):
2, 4, 10, 18, 28, 40
Differences: 2, 6, 8, 10, 12
Problem: First difference is 2, breaking the pattern

4. Correction needed:
Starting from 3 (first number)
For consistent pattern, next number should create difference of 4
Therefore, second number should be 0 (not 2)
Because: 3 → 0 gives difference of 3
And: 0 → 4 gives difference of 4

5. After correction:
Odd terms differences: 4, 6, 8, 10, 12
Even terms differences: 4, 6, 8, 10, 12

Answer: (a) 0 is correct.

The sequence becomes perfect when 2 is replaced with 0, making both odd and even terms follow same pattern of differences increasing by 2.

Explanation : 

Seven Book P, Q, R, S, T, U & V Arrangement

From the given information, we know that R, Q and T have blue covers and other books have red covers. We also know that only S and U are new books and the rest are old. Finally, we know that P, R and S are law reports; the rest are Gazetteers.

Based on this information, we can conclude that Q and T are old Gazetteers with blue covers. This is because they both have blue covers (as stated in the first sentence), they are both old (since only S and U are new), and they are both Gazetteers (since P, R and S are law reports).

Explanation : 

Arrangement of English Alphabet

The English alphabet is: ABCD EFGH IJKL MNOP QRST UVWX YZ

As per the question, the letters are arranged as follows:

DCBA HGFE LKJI PONM TSRQ XWVU ZY

The 13th letter in this arrangement is P.

The 4th letter to its right is T.

Explanation : 

Finding the Heaviest Person Between A, B, C, D, E

Analysis of Statement 1:
– Tells us either A or D is heaviest among A, B, E, and F
– No information about C
– Cannot determine the answer alone

Analysis of Statement 2:
– Tells us C is heavier than A
– No information about how C compares to B, E, F, or D
– Cannot determine the answer alone

Combining Both Statements:
1. From Statement 1:
– Either A or D is heaviest among A, B, E, F

2. From Statement 2:
– C is heavier than A
– C is heavier than D

3. Combined Logic:
– If C is heavier than both A and D
– And A or D was heaviest among A, B, E, F
– Then C must be heaviest among all (A, B, C, D, E)

Conclusion:
Both statements are necessary to conclude that C is the heaviest.

Explanation : 

In a group of 120 persons 80 are indian

Total Information:
– Total number of persons = 120
– Number of Indians = 80
– Number of Foreigners = 40
– Total English speakers = 70

Analysis:

1. Given that all 40 foreigners can speak English:
– Foreigners who speak English = 40
– Remaining English speakers must be Indians
– Indians who speak English = Total English speakers – Foreigners
– Indians who speak English = 70 – 40 = 30

Conclusion:
Therefore, at least 30 Indians must be able to speak English.

Explanation : 

Priya is 4 ranks below seema

Statement-1: Priya is 4 ranks below Seema and is 31st from the bottom.
In a class of 40 students, Seema’s rank is 31 + 4 = 35th.

Statement-2: Ena is 2 ranks above Seema and is 37th from the bottom.
In a class of 40 students, Seema’s rank is 37 – 2 = 35th.

Either Statement-1 alone or Statement-2 alone is sufficient to answer the question.